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**publisher and metadata sources**).An infinite family of exact solutions of the Einstein vacuum equations for the static case with axial symmetry is presented in an explicit form. Each solution of this family contains two arbitrary… Continue Reading

A new exact asymptotically flat solution of the Einstein equations able to describe the exterior gravitational field of a static mass possessing a quadrupole moment is presented in explicit form. In… Continue Reading

1 November 2000

In this note we point out that a large class of stationary, axisymmetric, vacuum solutions of the Einstein equations which are not representable as rational functions of some coordinates has a factor… Continue Reading

As is known, Birkhoff’s theorem states the uniqueness of the solution of Einstein vacuum field equations for an spherical and isolated compact body. Moreover, that solution, the Schwarzschild metric,… Continue Reading

It is said that the vorticity of a congruence plays the role of rate of rotation for the precession of a gyroscope moving along a world-line belonging to the congruence. Our aim is to determine the… Continue Reading

By applying a recent method—based on a tetrad formalism in General Relativity and the orthogonal splitting of the Riemann tensor—to the simple spherical static case, we found that the only static… Continue Reading

Global harmonic coordinates for the complete Schwarzschild metric are found for a more general case than that addressed in a previous work by Quan-Hui Liu. The supplementary constant that appears, in… Continue Reading

Four exact asymptotically flat solutions of the Einstein–Maxwell equations generalizing the well‐known Curzon metric are presented in explicit form. A new generalization of the Dietz–Hoenselaers… Continue Reading

Global harmonic coordinates for the complete Schwarzschild metric are found, for a more general case than one of a previous work by Quan [4]. The supplementary constant appearing, in addition to the… Continue Reading

1 April 2004

The extended quadruple–Kerr metric is used to consider equilibrium states of four collinear Kerr particles. We explain our previous failure to solve numerically the full set of the balance equations,… Continue Reading